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Finding the Fourth Proportional to 30,394.80, 45,608 and 22,997.08

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Solution

The fourth proportional to 30,394.80, 45,608 and 22,997.08 is: 34,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.80 : 45,608 = 22,997.08 : x
  2. Step 2: Convert to fraction form
    30,394.80/45,608 = 22,997.08/x
  3. Step 3: Cross multiply
    30,394.80x = 45,608 × 22,997.08
  4. Step 4: Simplify right side
    30,394.80x = 1,048,850,824.64
  5. Step 5: Solve for x
    x = 1,048,850,824.64/30,394.80
  6. Step 6: Final answer
    x = 34,507.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.